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Mathematics - Vector Question with Solution | TestHub

MathematicsVectorGeneral definitions, Angle between vectors, Section formula, Geometrical resultsEasy2 minPYQ_2004

MathematicsEasysingle choice

Three forces $P, Q$ and $R$ acting along IA, IB and IC, where I is the incentre of a $△ A BC$ , are in equilibrium. Then $P : Q : R$ is

Question diagram: Three forces P , Q and R acting along IA, IB and IC, where

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Answer:

Solution:

By Lami's theorem $P : Q : R = sin (9 0^{\circ} + \frac{A}{2}) : sin (9 0^{\circ} + \frac{B}{2}) : sin (9 0^{\circ} + \frac{C}{2}) \Rightarrow cos \frac{A}{2} : cos \frac{B}{2} : cos \frac{C}{2} .$

Stream:JEESubject:MathematicsTopic:VectorSubtopic:General definitions, Angle between vectors, Section formula, Geometrical results

⏱ 2mℹ️ Source: PYQ_2004

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